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JEE Main 2022 Mathematics question

MathematicsHyperbolaJEE Main 2022

Let the hyperbola H : and the ellipse E : be such that the length of latus rectum of H is equal to the length of latus rectum of E. If and are the eccentricities of H and E respectively, then the value of is equal to .

Answer: 42

Solution

For H, and the length of the latus rectum is = 2/a. The ellipse is , with latus rectum $2 × 3/2 =

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Question ID VK-024248